BALTIC-WAY 2013 Problem 1

Let $n$ be a positive integer. Assume that $n$ numbers are to be chosen from the table

$$\begin{array}{cccc} 0 & 1 & \cdots & n-1 \\ n & n+1 & \cdots & 2 n-1 \\ \vdots & \vdots & \ddots & \vdots \\ (n-1) n & (n-1) n+1 & \cdots & n^{2}-1 \end{array}$$

with no two of them from the same row or the same column. Find the maximal value of the product of these $n$ numbers.